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Finding the Fourth Proportional to 291,793.16, 402,677.63 and 164,468.76

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Solution

The fourth proportional to 291,793.16, 402,677.63 and 164,468.76 is: 226,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,793.16 : 402,677.63 = 164,468.76 : x
  2. Step 2: Convert to fraction form
    291,793.16/402,677.63 = 164,468.76/x
  3. Step 3: Cross multiply
    291,793.16x = 402,677.63 × 164,468.76
  4. Step 4: Simplify right side
    291,793.16x = 66,227,889,663.50
  5. Step 5: Solve for x
    x = 66,227,889,663.50/291,793.16
  6. Step 6: Final answer
    x = 226,968.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.